105366434166 has 24 divisors (see below), whose sum is σ = 260907361104. Its totient is φ = 30104695440.

The previous prime is 105366434141. The next prime is 105366434177. The reversal of 105366434166 is 661434663501.

105366434166 is a `hidden beast` number, since 1 + 0 + 53 + 6 + 6 + 434 + 166 = 666.

It is a super-2 number, since 2×105366434166² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418120645 + ... + 418120896.

It is an arithmetic number, because the mean of its divisors is an integer number (10871140046).

Almost surely, 2^105366434166 is an apocalyptic number.

105366434166 is an abundant number, since it is smaller than the sum of its proper divisors (155540926938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105366434166 is a wasteful number, since it uses less digits than its factorization.

105366434166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836241556 (or 836241553 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 105366434166 in words is "one hundred five billion, three hundred sixty-six million, four hundred thirty-four thousand, one hundred sixty-six".